Pre-Algebra Examples

Divide (9(2w+7)(w-5))/(45(w-5)(3w+7))
Step 1
Expand .
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 1.4
Apply the distributive property.
Step 1.5
Remove parentheses.
Step 1.6
Remove parentheses.
Step 1.7
Move .
Step 1.8
Multiply by .
Step 1.9
Raise to the power of .
Step 1.10
Raise to the power of .
Step 1.11
Use the power rule to combine exponents.
Step 1.12
Add and .
Step 1.13
Multiply by .
Step 1.14
Multiply by .
Step 1.15
Multiply by .
Step 1.16
Multiply by .
Step 1.17
Multiply by .
Step 1.18
Add and .
Step 2
Expand .
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Step 2.1
Apply the distributive property.
Step 2.2
Apply the distributive property.
Step 2.3
Apply the distributive property.
Step 2.4
Apply the distributive property.
Step 2.5
Remove parentheses.
Step 2.6
Move .
Step 2.7
Move .
Step 2.8
Remove parentheses.
Step 2.9
Multiply by .
Step 2.10
Raise to the power of .
Step 2.11
Raise to the power of .
Step 2.12
Use the power rule to combine exponents.
Step 2.13
Add and .
Step 2.14
Multiply by .
Step 2.15
Multiply by .
Step 2.16
Multiply by .
Step 2.17
Multiply by .
Step 2.18
Multiply by .
Step 2.19
Subtract from .
Step 3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of .
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Step 4
Divide the highest order term in the dividend by the highest order term in divisor .
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Step 5
Multiply the new quotient term by the divisor.
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+--
Step 6
The expression needs to be subtracted from the dividend, so change all the signs in
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-++
Step 7
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
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-++
+-
Step 8
The final answer is the quotient plus the remainder over the divisor.